7 pounds of potatoes cost $63. How many pounds ofpotatoes can you get with $261?
1 answer:
We know that 7 pounds of potatoes cost $63.
This is a proportional relationship between quantity (pounds of potatoes) and cost.
We can calculate how many pounds of potatoes we can get with $261 applying the Rule of three:
We can buy 29 pounds of potatoes with $261
NOTE: I use the units ($ and pounds) to know how to multiply them in order to get the result I was looking for.
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Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
